Chapter 17, Problem 17.8E

Interpretation Introduction

Interpretation:

The value of $\ln \left(5000!\right)$ is to be evaluated. The corresponding value is to be compared with the given value. The closeness of the corresponding different values is to be predicted.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as,

$\ln N!\approx N\ln N-N$

It is assumed in the Stirling’s approximation that $N$ is a large number.